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  4. Multigrid Image Reconstruction from Arbitrarily Spaced Samples
 
conference paper

Multigrid Image Reconstruction from Arbitrarily Spaced Samples

Arigovindan, M.  
•
Sühling, M.
•
Hunziker, P.
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2002
Proceedings of the 2002 IEEE International Conference on Image Processing (ICIP'02)

We propose a novel multiresolution-multigrid based signal reconstruction method from arbitrarily spaced samples. The signal is reconstructed on a uniform grid using B-splines basis functions. The computation of spline weights is formulated as a variational problem. Specifically, we minimize a cost that is a weighted sum of two terms: (i) the sum of squared errors at the specified points; (ii) a quadratic functional that penalizes the lack of smoothness. The problem is equivalent to solving a very large system of linear equations, with the dimension equal to the number of grid points. We develop a computationally efficient multiresolution-multigrid scheme for solving the system. We demonstrate the method with image reconstruction from contour points.

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Type
conference paper
DOI
10.1109/ICIP.2002.1038985
Author(s)
Arigovindan, M.  
•
Sühling, M.
•
Hunziker, P.
•
Unser, M.  
Date Issued

2002

Publisher

IEEE

Published in
Proceedings of the 2002 IEEE International Conference on Image Processing (ICIP'02)
Issue

Rochester NY, USA

Start page

381

End page

384

URL

URL

http://bigwww.epfl.ch/publications/arigovindan0201.html

URL

http://bigwww.epfl.ch/publications/arigovindan0201.pdf

URL

http://bigwww.epfl.ch/publications/arigovindan0201.ps
Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
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Available on Infoscience
September 18, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/118006
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